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Finding the Fourth Proportional to 151,969, 209,711.55 and 87,448.20

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Solution

The fourth proportional to 151,969, 209,711.55 and 87,448.20 is: 120,675.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,969 : 209,711.55 = 87,448.20 : x
  2. Step 2: Convert to fraction form
    151,969/209,711.55 = 87,448.20/x
  3. Step 3: Cross multiply
    151,969x = 209,711.55 × 87,448.20
  4. Step 4: Simplify right side
    151,969x = 18,338,897,566.71
  5. Step 5: Solve for x
    x = 18,338,897,566.71/151,969
  6. Step 6: Final answer
    x = 120,675.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.